{"id":217,"date":"2025-10-31T00:25:51","date_gmt":"2025-10-31T00:25:51","guid":{"rendered":"https:\/\/vibromera.eu\/glossary\/rotor-dynamics\/"},"modified":"2026-05-23T23:06:08","modified_gmt":"2026-05-23T23:06:08","slug":"rotor-dynamics","status":"publish","type":"glossary","link":"https:\/\/vibromera.eu\/hr\/glossary\/rotor-dynamics\/","title":{"rendered":"\u0160to je dinamika rotora? Teorija i primjena"},"content":{"rendered":"<h1>Razumijevanje dinamike rotora<\/h1>\n\t\t<section class=\"woocommerce hestia-shop products is-shortcode\" id=\"products\" data-sorder=\"hestia_shop\" >\n\t\t\t\t\t\t<div class=\"\">\n\t\t\t\t\t\t<div class=\"hestia-shop-content\">\n\t\t\t<div class=\"row\" data-aos=\"fade-up\" >\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/balanset-1\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/balanset-1\/\" title=\"Prijenosni balanser &amp; analizator vibracija Balanset-1A\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Balanset-1A kompletan set prijenosnog balansera i analizatora vibracija\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/09\/77-e1693745667801-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/devices\/\" rel=\"tag\">ure\u0111aji<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/balanset-1\/\" title=\"Prijenosni balanser &amp; analizator vibracija Balanset-1A\">Portable balancer &amp; Vibration analyzer Balanset-1A<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,975.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=986\" data-quantity=\"1\" data-product_id=\"986\" data-product_sku=\"BS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=986\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_986\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"986\" data-product_sku=\"BS-1\" aria-label=\"Dodaj u ko\u0161aricu: \u201cPortable balancer &amp; Vibration analyzer Balanset-1A\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Portable balancer &amp; Vibration analyzer Balanset-1A&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_986\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/vibration-sensor\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/vibration-sensor\/\" title=\"senzor vibracija\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Detalj senzora vibracija Balanset-1A\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-3.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/vibration-sensor\/\" title=\"senzor vibracija\">senzor vibracija<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>90.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1820\" data-quantity=\"1\" data-product_id=\"1820\" data-product_sku=\"VS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1820\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1820\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1820\" data-product_sku=\"VS-1\" aria-label=\"Dodaj u ko\u0161aricu: \u201cVibration sensor\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Vibration sensor&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1820\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/optical-sensor-for-balanset-and-arbalance\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Opti\u010dki senzor (laserski tahometar)\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Opti\u010dki senzor (laserski tahometar)\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-1536x1023.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/ZKqzGXSCCBU.webp 1600w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/optical-sensor-for-balanset-and-arbalance\/\" title=\"Opti\u010dki senzor (laserski tahometar)\">Opti\u010dki senzor (laserski tahometar)<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>124.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1832\" data-quantity=\"1\" data-product_id=\"1832\" data-product_sku=\"Tach-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1832\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1832\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1832\" data-product_sku=\"Tach-1\" aria-label=\"Dodaj u ko\u0161aricu: \u201cOptical Sensor (Laser Tachometer)\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Optical Sensor (Laser Tachometer)&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1832\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/balanset-4\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/balanset-4\/\" title=\"Balanset-4\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Vibromera komplet za balansiranje rotora: torba za no\u0161enje, vi\u0161ekanalni pretvara\u010d signala, ru\u010dni analizator, magnetska baza, senzori vibracija i spiralni kabeli.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-18x12.webp 18w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2022\/12\/balkom4.webp 640w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/devices\/\" rel=\"tag\">ure\u0111aji<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/balanset-4\/\" title=\"Balanset-4\">Balanset-4<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>6,803.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1833\" data-quantity=\"1\" data-product_id=\"1833\" data-product_sku=\"BS-4\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1833\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1833\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1833\" data-product_sku=\"BS-4\" aria-label=\"Dodaj u ko\u0161aricu: \u201cBalanset-4\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Balanset-4&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1833\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div><!-- \/.row --><div class=\"row\">\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/magnet-stand\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/magnet-stand\/\" title=\"Magnetski stalak Insize nosivosti 60 kgf\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Magnetska baza.\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-1024x682.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2018\/05\/IMG-36.webp 1280w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/magnet-stand\/\" title=\"Magnetski stalak Insize nosivosti 60 kgf\">Magnetski stalak Insize nosivosti 60 kgf<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>46.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1852\" data-quantity=\"1\" data-product_id=\"1852\" data-product_sku=\"MS-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=1852\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_1852\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"1852\" data-product_sku=\"MS-1\" aria-label=\"Dodaj u ko\u0161aricu: \u201cMagnetic Stand Insize-60-kgf\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Magnetic Stand Insize-60-kgf&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_1852\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/reflective-tape\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/reflective-tape\/\" title=\"Reflektiraju\u0107a traka\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Reflektiraju\u0107a traka\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-16x12.webp 16w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-460x306.webp 460w, https:\/\/vibromera.eu\/wp-content\/uploads\/2023\/05\/s-l1600-272x182.webp 272w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/parts\/\" rel=\"tag\">dijelovi<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/reflective-tape\/\" title=\"Reflektiraju\u0107a traka\">Reflektiraju\u0107a traka<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>10.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=2329\" data-quantity=\"1\" data-product_id=\"2329\" data-product_sku=\"rt-1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=2329\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_2329\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"2329\" data-product_sku=\"rt-1\" aria-label=\"Dodaj u ko\u0161aricu: \u201cReflective tape\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Reflective tape&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_2329\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t<div class=\"col-ms-6 col-sm-6 col-md-3 shop-item\">\n\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/dynamic-balancer-balanset-1a\/\" class=\"woocommerce-LoopProduct-link woocommerce-loop-product__link\">\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"card-image\">\n\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/vibromera.eu\/hr\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinami\u010dki balanser \u201cBalanset-1A\u201d OEM\">\n\t\t\t\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"230\" height=\"153\" src=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp\" class=\"attachment-woocommerce_thumbnail size-woocommerce_thumbnail\" alt=\"Sadr\u017eaj kompleta Balanset-1A s jedinicom za su\u010delje, senzorima, tahometrom i dodacima\" srcset=\"https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-230x153.webp 230w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-600x400.webp 600w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-300x200.webp 300w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1024x683.webp 1024w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-768x512.webp 768w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-1536x1024.webp 1536w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-2048x1366.webp 2048w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-360x240.webp 360w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-272x182.webp 272w, https:\/\/vibromera.eu\/wp-content\/uploads\/2021\/11\/\u0411\u0430\u043b\u043a\u043e\u043c\u041a\u0438\u0442-scaled-e1732998877834.webp 708w\" sizes=\"auto, (max-width: 230px) 100vw, 230px\" \/>\t\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t<div class=\"ripple-container\"><\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<div class=\"content\">\n\t\t\t\t\t\t\t\t<span class=\"category\"><a href=\"https:\/\/vibromera.eu\/hr\/product-category\/devices\/\" rel=\"tag\">ure\u0111aji<\/a><\/span>\n\t\t\t\t\t\t\t\t<h4 class=\"card-title\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a class=\"shop-item-title-link\" href=\"https:\/\/vibromera.eu\/hr\/product\/dynamic-balancer-balanset-1a\/\" title=\"Dinami\u010dki balanser \u201cBalanset-1A\u201d OEM\">Dinami\u010dki balanser \u201cBalanset-1A\u201d OEM<\/a>\n\n\t\t\t\t\t\t\t\t<\/h4>\n\n\t\t\t\t\t\t\t\t\n\t\t\t\t\t\t\t\t<div class=\"footer\">\n\n\t\t\t\t\t\t\t\t\t<div class=\"price\"><h4><span class=\"woocommerce-Price-amount amount\"><span class=\"woocommerce-Price-currencySymbol\">\u20ac<\/span>1,735.00<\/span> + PDV (ako je primjenjivo)<\/h4><\/div>\n\t\t\t\t\t\t\t\t\t<div class=\"stats\">\n\t\t\t\t\t\t\t\t\t\t<a rel=\"nofollow\" href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=4193\" data-quantity=\"1\" data-product_id=\"4193\" data-product_sku=\"BS-1OEM\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart btn btn-just-icon btn-simple btn-default\" title=\"Dodaj u ko\u0161aricu\" data-no-translation-title=\"\"><i rel=\"tooltip\" data-original-title=\"Dodaj u ko\u0161aricu\" class=\"fas fa-cart-plus\" data-no-translation-data-original-title=\"\"><\/i><\/a>\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/a><a href=\"\/hr\/wp-json\/wp\/v2\/glossary\/217?add-to-cart=4193\" aria-describedby=\"woocommerce_loop_add_to_cart_link_describedby_4193\" data-quantity=\"1\" class=\"button product_type_simple add_to_cart_button ajax_add_to_cart\" data-product_id=\"4193\" data-product_sku=\"BS-1OEM\" aria-label=\"Dodaj u ko\u0161aricu: \u201cDynamic balancer \u201cBalanset-1A\u201d OEM\u201d\" rel=\"nofollow\" data-success_message=\"&quot;Dynamic balancer \u201cBalanset-1A\u201d OEM&quot; je dodan u va\u0161u ko\u0161aricu\" data-no-translation=\"\" data-trp-gettext=\"\" data-no-translation-aria-label=\"\" data-no-translation-data-success_message=\"\">Dodaj u ko\u0161aricu<\/a>\t<span id=\"woocommerce_loop_add_to_cart_link_describedby_4193\" class=\"screen-reader-text\">\n\t\t\t<\/span>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/section>\n\t\t\n<p><strong>Dinamika rotora<\/strong> je specijalizirana grana mehani\u010dkog in\u017eenjerstva koja prou\u010dava pona\u0161anje rotiraju\u0107ih sistema \u2014 prije svega <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/vibration\/\">vibracija<\/a>, stabilnost i odziv <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rotor\/\">rotori<\/a> nosenih na le\u017eajima. Kombinira dinamiku, mehaniku materijala, teoriju upravljanja i analizu vibracija kako bi predvidio i kontrolirao pona\u0161anje stroja u cijelom rasponu radnih brzina. Ta grana omogu\u0107ava in\u017eenjerima da dizajniraju, analiziraju i otklanjaju probleme rotiraju\u0107e opreme svakog kapaciteta \u2014 od male turbomolekularne pumpe visokih brzina do turbogeneratora od 300 tona \u2014 s pouzdanjem da \u0107e raditi sigurno i pouzdano tijekom cijelog vijeka trajanja.<\/p>\n<h2>1. Temeljni koncepti u dinamici rotora<\/h2>\n<p>Nekoliko ideja razlikuje rotiraju\u0107i rotor od obi\u010dne stacionarne strukture. Najva\u017enije je da su dinami\u010dka svojstva rotora <em>ovisno o brzini<\/em>: krutost, prigu\u0161enje i \u017eiroskopski efekti svi se mijenjaju kako stroj ubrzava, pa se njegovo pona\u0161anje ne mo\u017ee razumjeti iz jednog stati\u010dkog modela.<\/p>\n<h3>Kriti\u010dne brzine i vlastite frekvencije<\/h3>\n<p>Svaki rotorski sustav ima jedan ili vi\u0161e <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/critical-speed\/\">kriti\u010dne brzine<\/a> \u2014 rotacijske brzine pri kojima se <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/natural-frequency\/\">vlastita frekvencija<\/a> sustava pobu\u0111uje, proizvode\u0107i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/resonance\/\">rezonancija<\/a> i o\u0161tar porast vibracija. Identificiranje i upravljanje kriti\u010dnim brzinama vjerojatno je pojedini najva\u017eniji zadatak u dinamici rotora, jer rad preblizu jedne od njih mo\u017ee amplitudu dovesti na destruktivne razine u sekundi.<\/p>\n<h3>\u017diroskopski efekti<\/h3>\n<p>Kada se rotor vrti i istovremeno se mijenja orijentacija njegove ose vrtnje \u2014 prola\u017eenjem kroz kriti\u010dnu brzinu ili tijekom prijelaznog manevra \u2014 <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/gyroscopic-effect\/\">\u017eiroskopski momenti<\/a> nastaju. Ti momenti u\u010dvr\u0161\u0107uju ili oslabljuju sustav ovisno o smjeru precesije, tako da dijele vlastite frekvencije na grane prema naprijed i unazad te preuoblli\u010davaju oblike modusa. \u0160to br\u017ee rotor radi, to je \u017eiroskopski utjecaj izrazitiji, \u0161to je razlog za\u0161to stroje visokih brzina zahtijevaju najopreznije analize.<\/p>\n<h3>Odziv na neuravnote\u017eenost<\/h3>\n<p>Svaki stvarni rotor nosi neku <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/unbalance\/\">neravnote\u017ea<\/a> \u2014 asimetri\u010dnu raspodjelu mase koja generira rotiraju\u0107u centrifugalnu silu. Dinamika rotora pru\u017ea alate za predvi\u0111anje kako \u0107e dati rotor odgovoriti na tu silu pri bilo kojoj brzini, uzimaju\u0107i u obzir krutost vratila, prigu\u0161enje sustava, karakteristike le\u017eaja i svojstva potporne strukture.<\/p>\n<h3>Sustav rotor-le\u017eaj-temelj<\/h3>\n<p>Potpuna analiza nikada ne tretira rotor izolirano. Modelira se kao integriran <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rotor-bearing-system\/\">sustav le\u017eajeva rotora<\/a> koji tako\u0111er uklju\u010duje brtve, spojke i potporne strukture \u2014 postamente, baznu plo\u010du i temelj. Svaki element doprinosi svojom kruto\u0161\u0107u, prigu\u0161enjem i masom, a krutost temelja posebno mo\u017ee pomaknuti efektivne kriti\u010dne brzine daleko od onih golog rotora.<\/p>\n<h3>Stabilnost i samora\u0111u\u0107a vibracija<\/h3>\n<p>Za razliku od prisilne vibracije izazvane nebalansirano\u0161\u0107u, neki sustavi mogu razviti <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/self-excited-vibration\/\">samopobudne vibracije<\/a> \u2014 oscilacije koje se hrane energijom iz samoga sustava umjesto iz vanjske sile pri brzini vrtnje. Fenomeni kao \u0161to su <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/oil-whirl\/\">vrtlog ulja<\/a>, uljni vrtlog i parni vrtlog mogu prerasti u nasilne nestabilnosti, a jedan od klju\u010dnih zadataka dinamike rotora je predvidjeti te pojave i eliminirati ih prije nego \u0161to se stroj izgradi.<\/p>\n<h2>2. Klju\u010dni parametri koji odre\u0111uju pona\u0161anje<\/h2>\n<p>Pona\u0161anje dinamike rotora odre\u0111eno je manjim brojem grupa parametara. Gre\u0161ka u bilo kojem od njih pomjera kriti\u010dne brzine ili dovodi u pitanje stabilnost.<\/p>\n<h3>Karakteristike rotora<\/h3>\n<ul>\n<li><strong>Raspodjela mase:<\/strong> kako je masa raspore\u0111ena du\u017e du\u017eine rotora i oko njegove perimetrije.<\/li>\n<li><strong>Uko\u010denost:<\/strong> otpornost vratila na savijanje, odre\u0111ena materijalom, promjerom i razmakom izme\u0111u oslonaca.<\/li>\n<li><strong>Omjer fleksibilnosti:<\/strong> omjer radne brzine prema prvoj kriti\u010dnoj brzini, \u0161to odvaja krute rotore od fleksibilnih rotora (detaljno definirani u nastavku).<\/li>\n<li><strong>Polarni i dijametralni momenti tromosti:<\/strong> svojstva tromosti koja pokre\u0107u giroskopske u\u010dinke i rotacijska dinamika.<\/li>\n<\/ul>\n<h3>Karakteristike le\u017eaja<\/h3>\n<ul>\n<li><strong>Krutost oslonca:<\/strong> koliko se oslonac otklanja pod optere\u0107enjem \u2014 jako ovisi o brzini, optere\u0107enju i svojstvima maziva kod naslaga s fluidnom mre\u017eom.<\/li>\n<li><strong>Prigu\u0161enje le\u017eaja:<\/strong> energija koju oslonac rasipa, \u0161to je kriti\u010dno za ograni\u010davanje amplitude dok rotor prolazi kroz kriti\u010dnu brzinu.<\/li>\n<li><strong>Vrsta le\u017eaja:<\/strong> oslonci s valjnim elementima i s fluidnom mre\u017eom (<a href=\"https:\/\/vibromera.eu\/hr\/glossary\/journal-bearing\/\">\u010dasopis<\/a>) imaju bitno razli\u010dito dinami\u010dko pona\u0161anje, potonji uvode ukr\u0161tenu krutost koja mo\u017ee izazvati nestabilnost.<\/li>\n<\/ul>\n<h3>Parametri sustava<\/h3>\n<ul>\n<li><strong>Krutost oslona\u010dne strukture:<\/strong> fleksibilnost temelja i postolja pomjera prirodne frekvencije sustava.<\/li>\n<li><strong>Efekti spojnice:<\/strong> kako priklju\u010dena oprema optere\u0107uje i ograni\u010dava rotor.<\/li>\n<li><strong>Aerodinami\u010dke i hidrauli\u010dke sile:<\/strong> on <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/aerodynamic-forces\/\">aerodinami\u010dki<\/a> i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/hydraulic-forces\/\">hidrauli\u010dki<\/a> optere\u0107enja nametnuta radnim fluidom.<\/li>\n<\/ul>\n<h2>3. Kruti naspram fleksibilnih rotora<\/h2>\n<p>Temeljna klasifikacija dijeli rotore na dva pogonska re\u017eima, \u0161to odre\u0111uje koji je pristup uravnote\u017eivanju validan.<\/p>\n<h3>Kruti rotori<\/h3>\n<p>A <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rigid-rotor\/\">kruti rotor<\/a> radi ispod prve kriti\u010dne brzine. Vratilo se tijekom rada ne savija osjetno, pa se mo\u017ee tretirati kao kruto tijelo i uravnote\u017eiti u dvije proizvoljna ravnine. Ve\u0107ina industrijskih strojeva \u2014 ventilatori, pumpe, elektromotori, turbopuha\u010di \u2014 spada u ovu kategoriju, a uravnote\u017eivanje je relativno jednostavno, obi\u010dno potrebno samo <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/two-plane-balancing\/\">balansiranje u dvije ravnine<\/a> prema tolerancijama <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/iso-21940-11\/\">ISO 21940-11<\/a>.<\/p>\n<h3>Fleksibilni rotori<\/h3>\n<p>A <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/flexible-rotor\/\">fleksibilni rotor<\/a> radi iznad jedne ili vi\u0161e kriti\u010dnih brzina. Vratilo se u pogonu primjetno savija i njegov otklon <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/mode-shape\/\">oblik moda<\/a> se mijenja s brzinom, pa ispravka koja funkcionira pri jednoj brzini mo\u017eda ne\u0107e funkcionirati pri drugoj. Brzohodne turbine, kompresori i generatori pona\u0161aju se na ovaj na\u010din i zahtijevaju napredne tehnike kao \u0161to je <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/modal-balancing\/\">modalno uravnote\u017eenje<\/a> ili <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/multi-plane-balancing\/\">vi\u0161eravninsko balansiranje<\/a>, koji se upravlja normom ISO 21940-12.<\/p>\n<h2>4. Alati i metode<\/h2>\n<p>In\u017eenjeri pristupaju problemima rotora kombinacijom analiti\u010dke predvi\u0111anja i fizi\u010dkog mjerenja, idealno me\u0111usobno provjeravaju\u0107i jedno prema drugome.<\/p>\n<h3>Analiti\u010dke metode<\/h3>\n<ul>\n<li><strong>Metoda matrice prijenosa:<\/strong> klasi\u010dna tehnika za ru\u010dno provedive izra\u010dune kriti\u010dnih brzina i modnih oblika.<\/li>\n<li><strong>Analiza kona\u010dnih elemenata (FEA):<\/strong> moderni ra\u010dunski standard koji daje detaljne predvi\u0111aje odziva, stabilnosti i modnih oblika.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/modal-analysis\/\">Modalna analiza<\/a>:<\/strong> odre\u0111ivanja vlastitih frekvencija i modnih oblika montiranog sustava.<\/li>\n<li><strong>Analiza stabilnosti:<\/strong> predvi\u0111anja po\u010detne brzine samo-uzbu\u0111enih vibracija.<\/li>\n<\/ul>\n<h3>Eksperimentalne metode<\/h3>\n<ul>\n<li><strong>Poku\u0161aj pokretanja \/ testiranje usporavanja:<\/strong> mjerenje vibracija pri promjeni brzine kako bi se locir\u0430\u043b\u0435 kriti\u010dne brzine. <a href=\"https:\/\/vibromera.eu\/hr\/calculators\/rotor-critical-speed\/\">Kalkulator kriti\u010dne brzine rotora<\/a> daje korisnu prvu procjenu prije nego \u0161to se stroj ikada pokrene.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/bode-plot\/\">Bodeovi dijagrami<\/a>:<\/strong> amplituda i faza nacrtani kao funkcija brzine.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/campbell-diagram\/\">Campbellovi dijagrami<\/a>:<\/strong> pokazivanje kako se prirodne frekvencije mijenjaju s brzinom i gdje redoslijedi pobude prolaze kroz njih.<\/li>\n<li><strong>Ispitivanje udara:<\/strong> kori\u0161tenje instrumentirane \u010deki\u0107a za pobudu i mjerenje prirodnih frekvencija na stacionarnom rotoru.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/orbit\/\">Analiza orbite<\/a>:<\/strong> analiza stvarne putanje koju srednja linija vratila prati u zazoru le\u017eaja.<\/li>\n<\/ul>\n<h2>5. Primjena i va\u017enost<\/h2>\n<p>Dinamika rotora va\u017ena je u dva posebna razdoblja u \u017eivotnom ciklusu stroja: tijekom projektiranja i kasnije kada se pojave problemi.<\/p>\n<h3>Faza dizajna<\/h3>\n<ul>\n<li>Predvi\u0111anje kriti\u010dnih brzina u ranoj fazi kako bi se osigurala dovoljna sigurnosna razlika od radnog raspona.<\/li>\n<li>Optimizacija izbora i pozicioniranja le\u017eaja.<\/li>\n<li>Odre\u0111ivanje potrebne kvalitete balansiranja.<\/li>\n<li>Procjena granica stabilnosti i projektiranje protiv samopobudnih vibracija<\/li>\n<li>Procjena prolaznog pona\u0161anja tijekom pokretanja i ga\u0161enja<\/li>\n<\/ul>\n<h3>Rje\u0161avanje problema i rje\u0161avanje problema<\/h3>\n<ul>\n<li>Dijagnostika problema vibracija u radnim strojevima.<\/li>\n<li>Pronala\u017eenje uzroka kada vibracije prekora\u017ee dozvoljene granice <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/iso-20816-1\/\">ISO 20816<\/a> (suvremenica normi ISO 10816).<\/li>\n<li>Procjena mogu\u0107nosti pove\u0107anja brzine ili izmjene opreme.<\/li>\n<li>Procjena \u0161tete nakon incident kao \u0161to su zaustavljanja, prekora\u010denja brzine ili otkazi le\u017eaja.<\/li>\n<\/ul>\n<h3>Primjene u industriji<\/h3>\n<ul>\n<li><strong>Proizvodnja elektri\u010dne energije:<\/strong> parne i plinske turbine, generatori.<\/li>\n<li><strong>Nafta i plin:<\/strong> kompresori, pumpe, turbine.<\/li>\n<li><strong>Zrakoplovstvo:<\/strong> motori zrakoplova i pomo\u0107ne elektrane.<\/li>\n<li><strong>Industrijski:<\/strong> motori, ventilatori, puhala, vretena alatnih strojeva.<\/li>\n<li><strong>Automobilska industrija:<\/strong> koljenasta vratila motora, turbokompresorri, pogonska vratila.<\/li>\n<\/ul>\n<h2>6. \u010cesti fenomeni u dinamici rotora<\/h2>\n<p>Kvalitetna analiza dinamike rotora predvi\u0111a i sprje\u010dava prepoznatljivu obitelj problema:<\/p>\n<ul>\n<li><strong>Rezonancija kriti\u010dne brzine:<\/strong> prekomjerna vibracija kada se brzina vrtnje poklapa s prirodnom frekvencijom.<\/li>\n<li><strong>Uljne vrtnje \/ bi\u010di:<\/strong> samouzbujivana nestabilnost u le\u017eajima s filmom fluida.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/synchronous-vibration\/\">Sinkroni<\/a> i <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/asynchronous-vibration\/\">asinkrona vibracija<\/a>:<\/strong> razlikovanje odgovora neravnote\u017ee od ostalih izvora.<\/li>\n<li><strong>Trenje i dodir:<\/strong> <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/rotor-rub\/\">trljanje rotora<\/a> kada se rotiraju\u0107i i nepomi\u010dni dijelovi dodiruju.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/thermal-bow\/\">Toplinsko savijanje vratila<\/a>:<\/strong> savijanje vratila zbog nejednolike razdiobe topline.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/torsional-vibration\/\">Torzijske vibracije<\/a>:<\/strong> kutno osciliranje vratila oko vlastite osi.<\/li>\n<\/ul>\n<h2>7. Veza izme\u0111u balansiranja i analize vibracija<\/h2>\n<p>Dinamika rotora je teorija koja se nalazi iza svakodnevne prakse <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/balancing\/\">balansiranje<\/a> i dijagnostike. Obja\u0161njava za\u0161to se <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/influence-coefficient\/\">koeficijenti utjecaja<\/a> koriste u poljskom balansiranju varira sa brzinom i stanjem le\u017eajeva; pokazuje je li jednostavna, dvoplanska ili modalna balansiranja ispravna strategija; predvi\u0111a kako \u0107e zadana neravnote\u017ea utjecati na vibracije pri razli\u010ditim brzinama; i vodi izbor dozvoljene tolerancije balansiranja prema radnoj brzini i masi rotora. Tako\u0111er podupire interpretaciju gre\u0161ke, pomagaju\u0107i analiti\u010daru odvajanju jednog vibracijskog potpisa od drugoga.<\/p>\n<p>Ovo je upravo mjesto gdje se teorija susre\u0107e s praksom. Prijenosni dvokanalni analizator poput <a href=\"https:\/\/vibromera.eu\/hr\/proizvod\/balanset-1\/\">Balanset-1A<\/a> primjenjuje ta na\u010dela izravno na mjestu: mjeri 1\u00d7 <a href=\"https:\/\/vibromera.eu\/hr\/glossary\/phase\/\">amplituda i faza<\/a> u le\u017eajima stroja pri radnoj brzini, izra\u010dunava koeficijente utjecaja rotora iz pokusnog rada, i ispravlja neravnote\u017eu bez namjenskog stroja za balansiranje \u2014 prakti\u010dna primjena teorije krutog rotora za ve\u0107inu industrijskog opreme.<\/p>\n<h2>8. Suvremeni razvoji<\/h2>\n<p>Podru\u010dje se kontinuirano napreduje na nekoliko fronta:<\/p>\n<ul>\n<li><strong>Ra\u010dunalna mo\u0107:<\/strong> sve detaljniji FEA modeli rje\u0161eni u sve manje vremenske periode.<\/li>\n<li><strong>Aktivno upravljanje:<\/strong> magnetski le\u017eajevi i aktivni prigu\u0161iva\u010di koji u stvarnom vremenu pode\u0161avaju krutost i prigu\u0161enje.<\/li>\n<li><strong><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/condition-monitoring\/\">Pra\u0107enje stanja<\/a>:<\/strong> kontinuirano nadziranje i dijagnostika pona\u0161anja rotora.<\/li>\n<li><strong>Tehnologija digitalne dvojnika:<\/strong> \u017eivi modeli koji zrcale stvarnu ma\u0161inu i a\u017euriraju se podatcima iz njezinih senzora.<\/li>\n<li><strong>Napredni materijali:<\/strong> kompoziti i visokoperformantne legure koje omogu\u0107avaju ve\u0107e brzine i u\u010dinkovitost.<\/li>\n<\/ul>\n<p>Za svakog tko projektira, upravlja ili odr\u017eava rotiraju\u0107e ma\u0161ine, prakti\u010dno razumijevanje dinamike rotora je nezaobilazno \u2014 to je znanje koje vibracijsku mjeru pretvara u odluku i odr\u017eava velike energetske ma\u0161ine sigurnim, u\u010dinkovitim i predvidivim.<\/p>\n<hr>\n<p><a href=\"https:\/\/vibromera.eu\/hr\/glossary\/\">\u2190 Natrag na glavni indeks<\/a><\/p>","protected":false},"excerpt":{"rendered":"<p>Saznajte vi\u0161e o dinamici rotora, grani in\u017eenjerstva koja prou\u010dava pona\u0161anje rotiraju\u0107ih sustava, uklju\u010duju\u0107i vibracije, kriti\u010dne brzine, stabilnost i odziv na neravnote\u017eu.<\/p>","protected":false},"featured_media":0,"template":"","meta":{"ai_generated_summary":"","footnotes":""},"categories":[109,111],"tags":[],"class_list":["post-217","glossary","type-glossary","status-publish","hentry","category-glossary","category-rotor-balancing"],"_links":{"self":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary\/217","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary"}],"about":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/types\/glossary"}],"version-history":[{"count":1,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary\/217\/revisions"}],"predecessor-version":[{"id":101456,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/glossary\/217\/revisions\/101456"}],"wp:attachment":[{"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/media?parent=217"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/categories?post=217"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/vibromera.eu\/hr\/wp-json\/wp\/v2\/tags?post=217"}],"curies":[{"name":"radni list","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}